The average kinetic energy of the molecules in a gas sample depends only on the

Question

The average kinetic energy of the molecules in a gas sample depends only on the temperature, T But given the same kinetic energies, a lighter molecule will move faster than a heavier molecule. 3RT rms speed where R-8.314 Jrmol, K) and . “ is molar massinkkgrarns per mole. Note that a joule is the same as a kg·m What is the rms speed of N2 molecules at 501 K? Number m/s What is the rms speed of He atoms at 501? Number m/ s OProvous Gwo up & View Solution Check Answer Next -8Ext S Hint about us careers privacy policyterms of use contact ushelp cBookA 7 9

Explanation / Answer

1)

Molar mass of N2,

mm = 28.02g/mol

= 0.02802 Kg/mol

T = 501 K

vrms = sqrt (3*R*T/M)

here : T is temperature in Kelvin

and M is molar mass in Kg/mol

So,

vrms = sqrt(3*8.314*501.0/0.02802)

= 668 m/s

Answer: 668 m/s

2)

Molar mass of He,

mm = 4.003g/mol

= 0.004003 Kg/mol

T = 501 K

vrms = sqrt (3*R*T/M)

here : T is temperature in Kelvin

and M is molar mass in Kg/mol

So,

vrms = sqrt(3*8.314*501.0/0.004003)

= 1767 m/s

Answer: 1767 m/s

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